Let's first complete the table by determining the amount of rice needed to make a given number of rice balls. According to Justin's recipe, each rice ball requires 100 grams of rice.
Step 1: Calculate the amount of rice for 2 rice balls:
Since 1 rice ball requires 100 grams of rice, for 2 rice balls, we multiply the amount of rice for 1 rice ball by 2:
[tex]\[ y = 2 \times 100 = 200 \][/tex]
So, for 2 rice balls, we need 200 grams of rice.
Step 2: Calculate the amount of rice for 4 rice balls:
Similarly, for 4 rice balls, we multiply the amount of rice for 1 rice ball by 4:
[tex]\[ y = 4 \times 100 = 400 \][/tex]
So, for 4 rice balls, we need 400 grams of rice.
Now, let's complete the table with these calculated values:
[tex]\[
\begin{tabular}{cc}
Rice balls, $x$ & Rice (g), $y$ \\
\hline
1 & 100 \\
2 & 200 \\
4 & 400 \\
\end{tabular}
\][/tex]
Next, we will plot the ordered pairs [tex]\((x, y)\)[/tex] from the table on a coordinate plane. Here are the points we need to plot:
1. [tex]\((1, 100)\)[/tex]
2. [tex]\((2, 200)\)[/tex]
3. [tex]\((4, 400)\)[/tex]
Plotting the points:
1. Plot the point [tex]\((1, 100)\)[/tex] on the coordinate plane. This is found by locating 1 on the x-axis and 100 on the y-axis.
2. Plot the point [tex]\((2, 200)\)[/tex] on the coordinate plane by locating 2 on the x-axis and 200 on the y-axis.
3. Plot the point [tex]\((4, 400)\)[/tex] on the coordinate plane by locating 4 on the x-axis and 400 on the y-axis.
Your graph should show these points in a linear relationship, reflecting the direct proportionality between the number of rice balls and the amount of rice in grams.
